12116774880 has 288 divisors, whose sum is σ = 49333445280. Its totient is φ = 2769500160.

The previous prime is 12116774851. The next prime is 12116774893. The reversal of 12116774880 is 8847761121.

12116774880 is a `hidden beast` number, since 1 + 2 + 1 + 167 + 7 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183060 + ... + 240300.

It is an arithmetic number, because the mean of its divisors is an integer number (171296685).

Almost surely, 2^12116774880 is an apocalyptic number.

12116774880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12116774880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24666722640).

12116774880 is an abundant number, since it is smaller than the sum of its proper divisors (37216670400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12116774880 is a wasteful number, since it uses less digits than its factorization.

12116774880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57279 (or 57258 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 12116774880 in words is "twelve billion, one hundred sixteen million, seven hundred seventy-four thousand, eight hundred eighty".